Local admissible convergence of harmonic functions on non-homogeneous trees

Massimo A. Picardello. "Local admissible convergence of harmonic functions on non-homogeneous trees." Colloquium Mathematicae 118.2 (2010): 419-444. <http://eudml.org/doc/283678>.

@article{MassimoA2010,
abstract = {We prove admissible convergence to the boundary of functions that are harmonic on a subset of a non-homogeneous tree equipped with a transition operator that satisfies uniform bounds suitable for transience. The approach is based on a discrete Green formula, suitable estimates for the Green and Poisson kernel and an analogue of the Lusin area function.},
author = {Massimo A. Picardello},
journal = {Colloquium Mathematicae},
language = {eng},
number = {2},
pages = {419-444},
title = {Local admissible convergence of harmonic functions on non-homogeneous trees},
url = {http://eudml.org/doc/283678},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Massimo A. Picardello
TI - Local admissible convergence of harmonic functions on non-homogeneous trees
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 419
EP - 444
AB - We prove admissible convergence to the boundary of functions that are harmonic on a subset of a non-homogeneous tree equipped with a transition operator that satisfies uniform bounds suitable for transience. The approach is based on a discrete Green formula, suitable estimates for the Green and Poisson kernel and an analogue of the Lusin area function.
LA - eng
UR - http://eudml.org/doc/283678
ER -